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Formula:8986

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Digital Library of Mathematical Functions ID 28.11.E3

1 = 2 ⁢ ∑ n = 0 ∞ A 0 2 ⁢ n ⁢ ( q ) ⁢ ce 2 ⁢ n ⁡ ( z , q ) , 1 2 superscript subscript 𝑛 0 superscript subscript 𝐴 0 2 𝑛 𝑞 Mathieu-ce 2 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle 1=2\sum_{n=0}^{\infty}A_{0}^{2n}(q)\mathrm{ce}_{2% n}\left(z,q\right),}}


Constraint(s)

Symbols List

  • ce n ⁡ ( z , q ) Mathieu-ce 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{ce}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}} :
  • q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}} : parameter
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • A m ⁢ ( q ) subscript 𝐴 𝑚 𝑞 {\displaystyle{\displaystyle A_{m}(q)}} : Fourier coefficient
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This page was last edited on 28 January 2024, at 10:30.
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